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96493072 = 2413538753
BaseRepresentation
bin1011100000001…
…01111000010000
320201120100121111
411300011320100
5144200234242
613324103104
72251114624
oct560057020
9221510544
1096493072
114a516745
1228394a94
1316cb64c0
14cb5b184
158710817
hex5c05e10

96493072 has 40 divisors (see below), whose sum is σ = 205158744. Its totient is φ = 43689984.

The previous prime is 96493069. The next prime is 96493087. The reversal of 96493072 is 27039469.

It can be written as a sum of positive squares in 4 ways, for example, as 23970816 + 72522256 = 4896^2 + 8516^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6648 + ... + 15400.

Almost surely, 296493072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96493072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102579372).

96493072 is an abundant number, since it is smaller than the sum of its proper divisors (108665672).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

96493072 is a wasteful number, since it uses less digits than its factorization.

96493072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8827 (or 8821 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 40.

The square root of 96493072 is about 9823.0887199495. The cubic root of 96493072 is about 458.6682844649.

It can be divided in two parts, 9649 and 3072, that added together give a palindrome (12721).

The spelling of 96493072 in words is "ninety-six million, four hundred ninety-three thousand, seventy-two".

Divisors: 1 2 4 8 13 16 26 52 53 104 106 208 212 424 689 848 1378 2756 5512 8753 11024 17506 35012 70024 113789 140048 227578 455156 463909 910312 927818 1820624 1855636 3711272 6030817 7422544 12061634 24123268 48246536 96493072